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Simplifying -1[2z + -1(5 + 2)] = 2 + (2z + 7) Combine like terms: 5 + 2 = 7 -1[2z + -1(7)] = 2 + (2z + 7) Multiply -1 * 7 -1[2z + -7] = 2 + (2z + 7) Reorder the terms: -1[-7 + 2z] = 2 + (2z + 7) [-7 * -1 + 2z * -1] = 2 + (2z + 7) [7 + -2z] = 2 + (2z + 7) Reorder the terms: 7 + -2z = 2 + (7 + 2z) Remove parenthesis around (7 + 2z) 7 + -2z = 2 + 7 + 2z Combine like terms: 2 + 7 = 9 7 + -2z = 9 + 2z Solving 7 + -2z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 7 + -2z + -2z = 9 + 2z + -2z Combine like terms: -2z + -2z = -4z 7 + -4z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 7 + -4z = 9 + 0 7 + -4z = 9 Add '-7' to each side of the equation. 7 + -7 + -4z = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -4z = 9 + -7 -4z = 9 + -7 Combine like terms: 9 + -7 = 2 -4z = 2 Divide each side by '-4'. z = -0.5 Simplifying z = -0.5
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